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If tanx=b/a then sqrt((a+b)/(a-b))+sqrt(...

If `tanx=b/a` then `sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))=`

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`tanx=b/a`
`b=atanx`
`sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))`
`(a+b+a-b)/(sqrt(a-b)sqrt(a+b))=2/sqrt(a^2-b^2`
`(2a)/sqrt(a-(atanx)^2`
`(2a)/sqrt(a^2(1-tan^2x)`
`2/sqrt(1-tan^2x`
`(2cosx)/sqrt(cos^2x-sin^2x`
...
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